Question: q5c) (c) Let Y be an exponential random variable with expected value Hy = 10. A qualifying Olympic shot-putter makes a good throw of distance

q5c)

q5c) (c) Let Y be an exponential random variable

(c) Let Y be an exponential random variable with expected value Hy = 10. A qualifying Olympic shot-putter makes a good throw of distance X = 60 + Y feet with a probability 0.7, otherwise the probability is 0.3, and he makes a foul throw when he steps outside the shot-putt circle (X = 0). Determine the probability that the throw is good with distance less than 70 feet. [10 Marks]

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